9. Complete the square to determine whether the equation represetns an ellipse, a parabola, a hyperbola, or a degenerate conic. For an ellipse: find the center, foci, vertices, and length of the major and minor axes; For a parabola: find the vertex, focus, and directrix; For a hyperbola: find the center, foci, vertices, and asymptotes. Sketch the graph. (а) х* + 6х + 12у + 9 — 0 (b) 2x2 + y? = 2y +1 (c) 16x? – 9y? – 96x + 288 = 0 (d) x² + 16 = 4(y² + 2x)
9. Complete the square to determine whether the equation represetns an ellipse, a parabola, a hyperbola, or a degenerate conic. For an ellipse: find the center, foci, vertices, and length of the major and minor axes; For a parabola: find the vertex, focus, and directrix; For a hyperbola: find the center, foci, vertices, and asymptotes. Sketch the graph. (а) х* + 6х + 12у + 9 — 0 (b) 2x2 + y? = 2y +1 (c) 16x? – 9y? – 96x + 288 = 0 (d) x² + 16 = 4(y² + 2x)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section: Chapter Questions
Problem 11T
Related questions
Question
Part D
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning